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Finding the Fourth Proportional to 7,134.45, 9,848.98 and 4,748.40

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Solution

The fourth proportional to 7,134.45, 9,848.98 and 4,748.40 is: 6,555.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.45 : 9,848.98 = 4,748.40 : x
  2. Step 2: Convert to fraction form
    7,134.45/9,848.98 = 4,748.40/x
  3. Step 3: Cross multiply
    7,134.45x = 9,848.98 × 4,748.40
  4. Step 4: Simplify right side
    7,134.45x = 46,766,896.63
  5. Step 5: Solve for x
    x = 46,766,896.63/7,134.45
  6. Step 6: Final answer
    x = 6,555.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.